एका वृत्तचितीचे वक्रपृष्ठफळ 484 चौरस सेमी आहे. जर वृत्तचितीची उंची 7 सेमी असेल, तर वृत्तचितीचे घनफळ(क्यूबिक सेमीमध्ये) किती असेल? (π = 22/7 वापरा)

This question was previously asked in
HPCL Engineer Mechanical 12 Aug 2021 Official Paper (Shift 1)
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  1. 2200
  2. 2750
  3. 2662
  4. 2650

Answer (Detailed Solution Below)

Option 3 : 2662
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दिलेले आहे:

वृत्तचितीचे वक्रपृष्ठफळ(CSA) = 484 सेमी2

वृत्तचितीची उंची(h) = 7 सेमी

वापरलेले सूत्र:

वृत्तचितीचे CSA = 2πrh

वृत्तचितीचे घनफळ (V) = πr2h

r = वृत्तचितीच्या पायाची त्रिज्या

गणना:

2πrh = 484

⇒ 2 × \(\dfrac{22}{7}\) × r × 7 = 484

⇒ r = 11

V = πr2h

⇒ V = \(\dfrac{22}{7}\) × 112 × 7

⇒ V = 2662 

∴ वृत्तचितीचे घनफळ = 2662 सेमी3

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